Answer:
your probability would be 6/20 or 0.3
Step-by-step explanation:
Answer:
l = 7 in; w = 3 in
Step-by-step explanation:
The formula for the area of a rectangle is
A = lw
Data:
A = 21 in²
l = w + 4
Calculation:
21 = (w + 4) × w
21 = w² + 4w
w² + 4w - 21 = 0
(w + 7)(w - 3) = 0
w + 7 = 0 w - 3 = 0
w = -7 w = 3
We reject the negative value, so w = 3 in.
21 = l × 3
l = 7
The rectangle is 7 in long and 3 in wide.
Answer:
Since, we are given table for x and y values
and table for average rate of changes
we can see the pattern of average rate of change
average rate of change for 5 to 6 is three times average rate of change for 4 to 5
but we have to find
average rate of change for 7 to 8
so, using same pattern
average rate of change for 6 to 7 is three times average rate of change for 5 to 6
average rate of change for 7 to 8 is 3*3( average rate of change for 5 to 6)
so, we can plug value
average rate of change for 7 to 8 is 3*3*486
average rate of change for 7 to 8 is 4374
so, option-D...........Answer
Step-by-step explanation:
Answer:
f(9) = 72
Step-by-step explanation:
This is a piecewise function. You have to establish what part to plug in your x value based on the designations given in the function. In this case, x=9.
9>6, so we would follow the bottom designation! When writing the function, turn every "x" into a 9.
f(x) = 8x
f(9) = 8(9)
f(9) = 72
Hope this helps you out :)!
Answer:
LM = 16
Step-by-step explanation:
From the question given:
L is the midpoint of NM
NL = 3x + 1
LM = 8x - 24
LM =?
Next, we shall determine the value of x.
This can be obtained as follow:
Since L is the midpoint of NM, it means that NL and LM are equal i.e
NL = LM
Thus, we can obtain the value of x as follow:
NL = 3x + 1
LM = 8x - 24
NL = LM
3x + 1 = 8x - 24
Collect like terms
3x - 8x = - 24 - 1
-5x = - 25
Divide both side by - 5
x = -25/-5
x = 5
Finally, we shall determine the length of LM as follow:
LM = 8x - 24
x = 5
LM = 8(5) - 24
LM = 40 - 24
LM = 16
Therefore, the length of LM is 16
